Statistical mechanics of ecosystem assembly

Details Statistical mechanics of ecosystem assembly Statistical mechanics of ecosystem assembly

2009-03-16

arxiv.org/abs/0903.2691v2

Biology

Quantitative Biology

Populations and Evolution

Accepted for publication in Physical Review Letters

Scientific paper

We introduce a toy model of ecosystem assembly for which we are able to map out all assembly pathways generated by external invasions. The model allows to display the whole phase space in the form of an assembly graph whose nodes are communities of species and whose directed links are transitions between them induced by invasions. We characterize the process as a finite Markov chain and prove that it exhibits a unique set of recurrent states (the endstate of the process), which is therefore resistant to invasions. This also shows that the endstate is independent on the assembly history. The model shares all features with standard assembly models reported in the literature, with the advantage that all observables can be computed in an exact manner.

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